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Finding the Fourth Proportional to 440.34, 660.54 and 147.85

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Solution

The fourth proportional to 440.34, 660.54 and 147.85 is: 221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.34 : 660.54 = 147.85 : x
  2. Step 2: Convert to fraction form
    440.34/660.54 = 147.85/x
  3. Step 3: Cross multiply
    440.34x = 660.54 × 147.85
  4. Step 4: Simplify right side
    440.34x = 97,659.74
  5. Step 5: Solve for x
    x = 97,659.74/440.34
  6. Step 6: Final answer
    x = 221.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.